On the steady flow of compressible viscous fluid and its stability with respect to initial disturbance

Yoshihiro Shibata, Koumei Tanaka

    研究成果: Article

    28 引用 (Scopus)

    抄録

    We consider a compressible viscous fluid effected by general form external force in R3. In part 1, an analysis of the linearized problem based on the weighted-L2 method implies a condition on the external force for the existence and some regularities of the steady flow. In part 2, we study the stability of the steady flow with respect to the initial disturbance. What we proved is: if H3-norm of the initial disturbance is small enough, then the solution to the non-stationary problem exists uniquely and globally in time.

    元の言語English
    ページ(範囲)797-826
    ページ数30
    ジャーナルJournal of the Mathematical Society of Japan
    55
    発行部数3
    出版物ステータスPublished - 2003 7

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    Compressible Fluid
    Steady Flow
    Viscous Fluid
    Disturbance
    Regularity
    Norm
    Imply
    Form

    ASJC Scopus subject areas

    • Mathematics(all)

    これを引用

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    AU - Tanaka, Koumei

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    N2 - We consider a compressible viscous fluid effected by general form external force in R3. In part 1, an analysis of the linearized problem based on the weighted-L2 method implies a condition on the external force for the existence and some regularities of the steady flow. In part 2, we study the stability of the steady flow with respect to the initial disturbance. What we proved is: if H3-norm of the initial disturbance is small enough, then the solution to the non-stationary problem exists uniquely and globally in time.

    AB - We consider a compressible viscous fluid effected by general form external force in R3. In part 1, an analysis of the linearized problem based on the weighted-L2 method implies a condition on the external force for the existence and some regularities of the steady flow. In part 2, we study the stability of the steady flow with respect to the initial disturbance. What we proved is: if H3-norm of the initial disturbance is small enough, then the solution to the non-stationary problem exists uniquely and globally in time.

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    KW - Navier-Stokes equation

    KW - Stability

    KW - Stationary solution

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